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Finding the Third Proportional to 27,962,186,881 and 61,337,997,136

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Solution

The third proportional to 27,962,186,881 and 61,337,997,136 is: 134,551,346,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962,186,881 : 61,337,997,136 = 61,337,997,136 : x
  2. Step 2: Convert to fraction form
    27,962,186,881/61,337,997,136 = 61,337,997,136/x
  3. Step 3: Cross multiply
    27,962,186,881x = 61,337,997,136 × 61,337,997,136
  4. Step 4: Simplify right side
    27,962,186,881x = 3,762,349,892,655,944,040,448
  5. Step 5: Solve for x
    x = 3,762,349,892,655,944,040,448/27,962,186,881
  6. Step 6: Final answer
    x = 134,551,346,383.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.